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Basic results on braid groups

Juan González-Meneses (2011)

Annales mathématiques Blaise Pascal

These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin’s presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some...

Braids in Pau – An Introduction

Enrique Artal Bartolo, Vincent Florens (2011)

Annales mathématiques Blaise Pascal

In this work, we describe the historic links between the study of 3 -dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.

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